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What is the Least Common Multiple of 28252 and 28272?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 28252 and 28272 is 199685136.

LCM(28252,28272) = 199685136

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Least Common Multiple of 28252 and 28272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28252 and 28272, than apply into the LCM equation.

GCF(28252,28272) = 4
LCM(28252,28272) = ( 28252 × 28272) / 4
LCM(28252,28272) = 798740544 / 4
LCM(28252,28272) = 199685136

Least Common Multiple (LCM) of 28252 and 28272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28252 and 28272. First we will calculate the prime factors of 28252 and 28272.

Prime Factorization of 28252

Prime factors of 28252 are 2, 7, 1009. Prime factorization of 28252 in exponential form is:

28252 = 22 × 71 × 10091

Prime Factorization of 28272

Prime factors of 28272 are 2, 3, 19, 31. Prime factorization of 28272 in exponential form is:

28272 = 24 × 31 × 191 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 28252 and 28272.

LCM(28252,28272) = 24 × 71 × 10091 × 31 × 191 × 311
LCM(28252,28272) = 199685136